Details

Time bar (total: 6.3s)

sample75.0ms

Algorithm
intervals
Results
17.0ms513×pre80true
16.0ms113×body320valid
12.0ms257×body80nan
9.0ms98×body160valid
3.0ms15×body640valid
1.0ms30×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0249
1459
2799
3979
41059
51059

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 52.8b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
27.3b
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
10×add-log-exp
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
7×add-cube-cbrt
6×distribute-lft-out
5×pow1 times-frac associate-/l*
3×distribute-rgt-neg-in sqrt-prod
2×cbrt-undiv neg-sub0 associate-+l- flip3-- flip3-+ sqrt-div div-exp sum-log flip-- flip-+ associate-/l/
1×+-commutative sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-sub neg-log prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
3.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
6.0ms
(- (* b b) (* (* 4.0 a) c))
11.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series337.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
49.0ms
(- (* b b) (* (* 4.0 a) c))
141.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
76.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify51.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0396773
11550683
25001673

prune188.0ms

Filtered
82 candidates to 63 candidates (76.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New77582
Fresh000
Picked101
Done000
Total78583

Merged error: 0.1b

Counts
83 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.3b
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.3b
(/ (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
80×add-sqr-sqrt
79×*-un-lft-identity
39×add-cube-cbrt
30×associate-/l*
20×distribute-lft-out-- difference-of-squares
18×add-exp-log add-cbrt-cube
13×sqrt-prod
10×distribute-rgt-neg-in
8×associate-/r*
7×cbrt-undiv div-exp
6×associate-/r/ add-log-exp
5×pow1 flip3-- flip--
4×div-inv
3×associate-/l/
2×frac-2neg sqrt-div prod-exp clear-num cbrt-unprod
1×sub-neg rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 diff-log flip-+
Counts
4 → 148
Calls
4 calls:
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
3.0ms
(- (* b b) (* (* 4.0 a) c))
12.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
17.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))

series637.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
49.0ms
(- (* b b) (* (* 4.0 a) c))
288.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
230.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))

simplify123.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
06372580
131912340
250012327

prune397.0ms

Filtered
160 candidates to 106 candidates (66.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1555160
Fresh314
Picked101
Done000
Total1596165

Merged error: 0b

Counts
165 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 4.0 a) c))
0.2b
(/ (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c))
0.3b
(/ 4.0 (/ (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c)))
0.3b
(/ (* 1 (/ 4.0 (/ (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c)))) (* 2.0 a))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
95×add-exp-log
69×times-frac
63×add-cbrt-cube
50×add-sqr-sqrt *-un-lft-identity
45×div-exp
31×prod-exp
27×cbrt-undiv
26×add-cube-cbrt
17×cbrt-unprod
13×associate-/r*
12×distribute-lft-out-- difference-of-squares
11×associate-/l*
8×1-exp
7×div-inv
6×distribute-rgt-neg-in sqrt-prod add-log-exp
4×pow1
3×frac-2neg clear-num associate-/l/
2×flip3-- flip--
1×sub-neg diff-log div-sub associate-*r/ associate-/r/
Counts
4 → 150
Calls
4 calls:
4.0ms
(- (* b b) (* (* 4.0 a) c))
16.0ms
(/ (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c))
14.0ms
(/ 4.0 (/ (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c)))
19.0ms
(/ (* 1 (/ 4.0 (/ (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c)))) (* 2.0 a))

series545.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (* b b) (* (* 4.0 a) c))
108.0ms
(/ (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c))
212.0ms
(/ 4.0 (/ (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c)))
174.0ms
(/ (* 1 (/ 4.0 (/ (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c)))) (* 2.0 a))

simplify47.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
09222501
150012078

prune332.0ms

Filtered
162 candidates to 95 candidates (58.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1620162
Fresh055
Picked011
Done000
Total1626168

Merged error: 0b

Counts
168 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.3b
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.4b
(* (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (/ 1 (* 2.0 a)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
58×*-un-lft-identity
51×add-exp-log
46×times-frac
30×add-cube-cbrt
27×associate-*l* add-cbrt-cube
20×prod-exp
16×div-exp
14×distribute-lft-out-- difference-of-squares
10×sqrt-prod
8×cbrt-undiv cbrt-unprod
7×pow1 distribute-rgt-neg-in associate-*r* associate-/r*
6×add-log-exp
4×rec-exp flip3-- 1-exp associate-/r/ flip--
3×div-inv associate-/l*
2×sqrt-div associate-/l/ unswap-sqr
1×frac-times sub-neg rem-sqrt-square frac-2neg sqrt-pow1 flip3-+ pow1/2 diff-log associate-*r/ pow-prod-down associate-*l/ clear-num un-div-inv *-commutative flip-+
Counts
4 → 143
Calls
4 calls:
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(- (* b b) (* (* 4.0 a) c))
16.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
21.0ms
(* (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (/ 1 (* 2.0 a)))

series654.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
44.0ms
(- (* b b) (* (* 4.0 a) c))
297.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
236.0ms
(* (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (/ 1 (* 2.0 a)))

simplify144.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (124.0ms)

IterNodesCost
07292303
139601982
250021975

prune356.0ms

Filtered
155 candidates to 100 candidates (64.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1550155
Fresh044
Picked011
Done011
Total1556161

Merged error: 0b

Counts
161 → 6

regimes94.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02613
12813
22813

end0.0ms

sample2.1s

Algorithm
intervals
Results
503.0ms3590×body320valid
437.0ms16000×pre80true
374.0ms8000×body80nan
281.0ms3002×body160valid
93.0ms500×body640valid
44.0ms908×body80valid

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